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Institut de Recerca en Economia Aplicada Regional i Pública Document de Treball 2012/16 40 pàg. Research Institute of Applied Economics Working Paper 2012/16 40 pag.

“Pass-through in dollarized countries: should Ecuador

abandon the U.S. Dollar?”

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WEBSITE: www.ub.edu/irea/ • CONTACT: irea@ub.edu

The Research Institute of Applied Economics (IREA) in Barcelona was founded in 2005, as a research institute in applied economics. Three consolidated research groups make up the institute: AQR, RISK and GiM, and a large number of members are involved in the Institute. IREA focuses on four priority lines of investigation: (i) the quantitative study of regional and urban economic activity and analysis of regional and local economic policies, (ii) study of public economic activity in markets, particularly in the fields of empirical evaluation of privatization, the regulation and competition in the markets of public services using state of industrial economy, (iii) risk analysis in finance and insurance, and (iv) the development of micro and macro econometrics applied for the analysis of economic activity, particularly for quantitative evaluation of public policies.

IREA Working Papers often represent preliminary work and are circulated to encourage discussion. Citation of such a paper should account for its provisional character. For that reason, IREA Working Papers may not be reproduced or distributed without the written consent of the author. A revised version may be available directly from the author.

Any opinions expressed here are those of the author(s) and not those of IREA. Research published in this series may include views on policy, but the institute itself takes no institutional policy positions.

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Abstract

In this article we examine the convenience of dollarization for Ecuador today. As Ecuador is strongly integrated financially and commercially with the United States, the exchange rate pass-through should be zero. However, we sustain that rising rates of imports from trade partners other than the United States and subsequent real effective exchange rate depreciations are causing the pass-through to move away from zero. Here, in the framework of the Vector Error Correction Model, we analyse the impulse response function and variance decomposition of the inflation variable. We show that the developing economy of Ecuador is importing inflation from its main trading partners, most of them emerging countries with appreciated currencies. We argue that if Ecuador recovered both its monetary and exchange rate instruments it would be able to fight against inflation. We believe such an analysis could be extended to other countries with pegged exchange rate regimes.

JEL classification:E31; F31; F41.

Keywords:Pass-through, shocks, dollarized countries, structural VECM.

María Lorena Marí del Cristo. Department of Economics. University of Barcelona, Av.Diagonal 690. Barcelona 08034. Email:lmari@ub.eduCorresponding author

Marta Gómez-Puig. Department of Economics. University of Barcelona and RiskCenter-IREA, Av. Diagonal 690. Barcelona 08034. Email: marta.gomezpuig@ub.edu

Acknowledgements:

This article is based upon work supported by the Government of Spain and FEDER under grant number ECO2010-21787-C03-01.

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1. Introduction

Selecting the optimal exchange rate regime for developing and emerging countries is the subject of ongoing debate in international economic forums, especially in light of the current global economic crisis that has called into question most exchange rate regimes1. Given the variety of such regimes2, the exchange rate pass-through (ERPT) literature, which examines the inflationary pressure attributable to the transmission mechanism of the exchange rates, is presented as a useful framework for exploring the economic implications of these regimes and identifying the most convenient exchange rate mechanism for a given country. Here, we focus our study on the pegged exchange rate regime adopted in Ecuador, a dollarized country which is currently undergoing major political and economic changes that might result in changing its exchange rate regime in the near future3.

In theory, dollarized countries should have a very low pass-through as their currencies are anchored to that of their principal trade partner. In Ecuador, the appearance of inflationary pressure due to pass-through might reflect the fact it has begun to substitute its traditional trade partners. China, for example, was the leading merchandise exporter in 2010 ($1.58 trillion, or 10% of world exports) and accounted for 7.8% of Ecuador’s total imports4. Fig. 1 in Appendix B shows the appreciation of the Chinese yuan (CNY) against the US dollar (USD). When China reformed its fixed exchange rate regime to a managed floating exchange rate system in July 20055, one USD was valued at 8.2700 CNY. In January 2012 one USD was worth 6.3548 CNY, an appreciation of 23.15%. Likewise, the rates of appreciation experienced by two currencies belonging to two of Ecuador’s main trade partners, Colombia and Japan, are shown in Fig. 2 (Appendix B).

1

Even the European Monetary Union, the benchmark for economies undertaking similar projects, has been questioned in terms of a deficient political and fiscal union (Issing, 2011).

2

Reinhart & Rogoff (2004) used market-determined exchange rates (from dual/parallel markets) and found fourteen categories of exchange rate regimes, ranging from no separate legal tender or a strict peg to a dysfunctional “freely falling” or “hyperfloat”.

3

Ecuador is a member of major Latin American economic organizations including UNASUR (www.uniondenacionessuramericanas.com), CAN (www.comunidadandina.org), ALBA (www.alianzabolivariana.org), which in 2007 created the Bank of the South – a credit institution similar to the World Bank, and it is soon to join MERCOSUR(MERCOSUR/CMC/DEC. Nº38/11). The aim of these organizations is to create a South American Free Trade Area, using a new currency (the sucre), which was first used in 2010 as a virtual currency in at least two transactions between EcuadorandVenezuela. Ecuador is also diversifying its trade partners, with Asian countries being its leading exporters in 2010 (www.icex.es).

4

Reported by the World Trade Organization in 2011 Press Releases (PRESS/628).

5

This new system replaced the USD, which had served as the sole anchor currency for approximately ten years, with a basket of currencies that was weighted to account for bilateral trade volume and bilateral investment.

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In times of crisis, the ERPT plays a crucial role in achieving an internal and external balance. When the ERPT is high, variations in the exchange rate result in changes in the relative prices of tradable and non-tradable commodities generating a rapid adjustment in the trade balance. At the same time, high ERPT also encourages domestic production to substitute imported products.

In general, developing countries are heavily dependent on imports. These imported products become more expensive following episodes of depreciation, thereby affecting the economic growth of these countries in terms of levels of investment and consumption. As developing countries are unlikely to renounce imported products, as the pass-through rises, the rate of inflation with which they have to contend also grows. In a currency crisis, therefore, developing countries find themselves most severely affected owing to the deterioration in the balance sheet of financial institutions as they borrow in foreign currencies from foreign institutions, but lend in the domestic currency to domestic firms. If the national currency is depreciated these liabilities are magnified, and the banks are unable to lend and investors send their profits abroad (capital flights), resulting in contractionary effects in the economy6.

When a country is dollarized it can overcome a high ERPT coefficient and its balance-sheet problems as long as the United States continues to be its principal lender and commercial partner. Yet, what happens if this situation should change? Fig. 3 in Appendix B shows the evolution in Ecuador’s main suppliers over the period 1998 to 2010. Although United States remains the main trading country, Latin America is the leader among the regions, comprising the Latin American Integration Association (Argentina, Brazil, Chile, and Mexico) and the Andean Community (Bolivia, Colombia, Peru and Venezuela). The figure also highlights the growth recorded by Asia (comprising Japan, Taiwan, China and South Korea), which since 2004 has replaced Europe as the third largest source of imports. Thus, as the trade relations between the two “monetary linked” countries weaken, the benefits to the dollarized country of operating a pegged exchange rate regime are reduced. Bastourre et al. (2003) found that if the financial channel (FC) becomes a more important transmission mechanism than the trade channel (TC), the FC will increase the gross domestic product (GDP) volatility of the dollarized country7.

6

Frankel (2005) in his article “Contractionary currency crashes in developing countries” describes how depreciations of the national currency cause contractionary effects rather than an expansion in economies highly indebted in dollars.

7

With business cycles negatively correlated, the FC increases real volatility and the TC reduces it. If the anchor country is hit by a positive shock, two simultaneous processes will take place: a) the anchor country will increase imports from the pegged country, positively affecting the GDP of this country through the TC, but b) since the anchor country could issue a restrictive monetary policy in order to avoid over-heating, the increase in the interest rate will negatively affect the pegged country through the FC.

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In conducting our research here, we selected a Latin American country, namely Ecuador, which was dollarized in 2000 principally to avoid escalating inflationary pressures. The study, undertaken in the framework of a Vector Error Correction Model (VECM), examines a period that extends from January 2000 to July 2011 (i.e., covering ten years of dollarization and part of the current global economic crisis).

The article is organized as follows. In the section that follows we provide a brief economic history of Ecuador. In section three, we present an overview of the pass-through literature, emphasizing the paucity of studies conducted for developing countries. In sections four and five, we describe the theoretical framework and the data and methodology adopted, respectively. Our empirical results are reported in section six and we draw our conclusions in section seven.

2. Ecuador – a history of dollarization

The relative advantages and drawbacks of official dollarization to a country are well documented8

There are three different degrees of dollarization: unofficial and semi-official – both of which are referred to as partial dollarization – and official or full dollarization. In Latin America and the Caribbean region alone all three regimes can be found

. Thus, this exchange rate regime facilitates the control of inflation and interest rates, aids the stabilization of the exchange rate and ensures lower transaction costs; however, the process also entails high transition costs, while a country loses control over its monetary policy, its central bank no longer serves as a lender of last resort and, ultimately, a national symbol is lost.

9. This study is concerned with full dollarization in which the national currency is substituted by the US dollar as legal tender. Below, we briefly outline the monetary history of Ecuador, the country under analysis here.

Ecuador’s national currency, the sucre, first launched in 1884 by the government of Jose Maria Placido Caamaño, was replaced as legal tender by the US dollar in 2000, at a rate of 25 000 sucres per dollar. In the early 1990s, Ecuador introduced various structural reforms that provided a certain degree of macroeconomic stability at least until the middle of that decade. However, a number of endogenous shocks – including, an inefficient fiscal policy and increasing financial dollarization – and exogenous shocks – including the impact of the climate oscillation, el Niño, 8

See Alesina and Barro (2001), De Nicoló, Honohan and Ize, (2005), and Berg and Borensztein, E. (2000).

9

Peru, Uruguay and Bolivia operate a high degree of financial dollarization (a variety of partial dollarization) in which foreign assets exceed domestic assets but where each country maintains its own currency. Haiti operates a system of semi-official dollarization in which the foreign currency is legal tender, but where it plays a secondary role to the domestic currency for paying taxes and wages. Finally, only three countries are fully dollarized, namely, Ecuador, El Salvador and Panama.

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and international oil prices – immersed the country in a period of economic stagnation that saw macroeconomic imbalances increase (Jacome, 2004).

At the end of the twentieth century, Ecuador experienced one of the most serious crises in the history of the Republic with inflation rates being recorded at 30 percent per month. The government intervened in the banks and many public deposits were frozen. Internationally, Ecuador’s standing was not good; it was in arrears with its private creditors and bondholders, while the International Monetary Fund, the World Bank and the Inter-American Development Bank withheld important loans that might have supported the Ecuadorian balance of payments.

The country was in urgent need of radical measures that would stabilize expectations, avoid acute currency depreciation and hyperinflation, and restore economic and financial activity. At the same time, the government was in urgent need of radical measures that would allow it to escape being overthrown. At its head, President Mahuad faced the challenges of severe social and economic crisis - real GDP fell 7.3 percent, unemployment rose from 11 to 15 percent and an active indigenous movement called for political and economic reform. In an attempt to switch the focus from political issues to economic matters, he concluded that the radical solution was dollarization.

Following dollarization, GDP rose by 2.3 percent in 2000, and climbed 5.4 percentage points in 2001. Inflation had been stabilized, but at the same time international oil prices recovered so the immediate effects of dollarization on Ecuador’s economy were somewhat ambiguous. Today, Ecuador is a member of the Andean Community of Nations (CAN), a free trade area, and most of the members have a floating exchange rate regime. As such, Ecuador is at risk of experiencing what Argentina underwent when Brazil devalued the real in 1999. Argentina, operating a currency board system, was unable to adjust its exchange rate parity in order to recover competitiveness (Beckerman and Solimano, 2002).

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3. A brief overview of the pass-through literature

The study of exchange rate pass-through began with the “law of one price” and the Purchasing Power Parity (PPP) literature. Dornbusch (1985), drawing on evidence prepared for the New Palgrave dictionary of economics, presents an excellent definition and review of this literature. Today, pass-through – the degree to which exchange rate changes are passed through to price levels – has been identified as the main mechanism providing theoretical support for deviations from PPP. Since the 1980s, various empirical studies have examined ERPT to domestic prices (including import, producer and consumer prices), yet most of the literature has focused its attention on industrialized countries.

At the micro level, Dornbusch (1987) applied industrial organization models to explain the relationship between exchange rate fluctuations and domestic price changes, in terms of market structure – import share and concentration – and the substitutability of imports for domestic products. The lower the level of product substitutability in an industry, and the greater the share of foreign exporters relative to domestic producers, the greater is the ability to maintain markups and, hence, the higher the pass-through rates rise. Campa and Goldberg (2002) analyzed twenty-five OECD countries estimating industry-specific rates of pass-through across and within countries and found a strong relationship between pass-through and the industry composition of trade. They conclude that the shift away from energy and raw materials as a high proportion of import bundles to a higher share of manufactured imports has contributed significantly to a reduction in pass-through. A number of other studies, including Obstfeld (2000), Goldberg and Knetter (1997), and Bacchetta and van Wincoop (2005), adopting Obstfeld and Rogoff’s new open economy models, examine determinants such as the invoicing decisions of producers, import competition, oligopolistic pricing dynamics (or the pricing behaviour of firms) to explain the degree and speed of pass-through.

At the macro level, Froot and Kempleter (1988) associated a low pass-through rate with a higher nominal exchange rate variability, as importers became more wary of changing prices and more willing to adjust profits margins so as to maintain their local market share. However, if the exchange rate shock was expected to be persistent, then they were more likely to change prices than to adjust their profit margins10. An (2006) provides evidence to show that the size of a country’s economy is inversely related to the pass-through coefficient while a country’s trade openness (i.e. a higher share of imports) is directly related.

10

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An additional macroeconomic factor, aggregate demand uncertainty, was introduced by Mann (1986): exporters will alter profit margins when aggregate demand shifts in tandem to exchange rate fluctuations in an imperfectly competitive environment, so countries with more volatile

aggregate demand will have less pass-through11. A further determinant of pass-through, the

inflation environment, is examined by Taylor (2000). He hypothesizes that declining rates of inflation lead to lower import price pass-through because firms in low inflation countries appear to have less pricing power than their counterparts in high inflation economies. A factor that is closely related to the inflation environment is the relative stability of monetary policy. Devereux et al. (2004) construct a model of endogenous exchange rate pass-through within an open economy macroeconomic framework. They report that when countries have differences in the volatility of money growth, firms in both countries will tend to fix their prices in the currency of the country that has more stable money growth, thereby reducing the impact of exchange rate changes on the country’s domestic prices.

Table 2 in Appendix A summarizes a number of recent articles that analyse pass-through in the dollarized economies of developing countries. Reinhart et al. (2003) and Carranza et al. (2009), among others, found pass-through to be higher in dollarized countries than it was in their non-dollarized counterparts; however, Gonzalez Anaya (2000) and Akofio-Sowah (2008) reported just the opposite. This can be accounted for by the fact that the former analysed countries in which dollarization was unofficial, while the latter studies looked at countries with official dollarization. While dollarization remains unofficial, a developing country retains its own local currency and so when this suffers depreciation there is a surge in “original sin”12, which explains why the balance-sheet is negatively affected by the currency mismatch with liabilities denominated in foreign currency.

11

McCarthy (2000) provides empirical evidence in confirmation of these hypotheses associating both exchange rate and GDP volatility with a lower exchange rate pass-through to domestic inflation, although these relationships were only strong at short horizons.

12

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4. The Model

The IS/LM framework, derived from Obstfeld et al. (1985), has been used by Shambaugh (2008) and Barhoumi (2007) so as to generate long-run restrictions. The model is based on a number of equations: simple aggregate demand, money demand, interest rate parity, price power parity (PPP) and import price setting:

(1) (2) (3)

(4) (5)

where is the demand-determined output, is the nominal exchange rate, is the domestic

price level, is the foreign price level, is the relative world demand for home and foreign

goods, is the money supply, and are the nominal interest rates of domestic and foreign

countries respectively, and is the real exchange rate. Equation 5 relates the import price index, , with the cost of foreign exports, , and the markup on imports, . All variables (except interest rates) are in natural logs.

The stochastic processes determining these variables are:

(6) (7)

(8) (9)

In the long run, output is supply determined and prices make all necessary adjustments to achieve equilibrium. Therefore, on the assumption that prices are flexible in the long run, is equal to zero. Additionally, we assume that the real interest rate is constant and normalize it to zero. This means the long-run interest rate is zero, and so the interest rate drops out of the output and price equations. Based on these assumptions, the following equilibrium equations can be generated for our variables:

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(12) (13)

If we assume that is affected by the same shock affecting the foreign price level ( ), the

import prices can be explained by the following expression:

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According to these equations, is only affected by in the long run and the variable is only

affected by and in the long run. Prices ( ) are only affected by both and and all these

shocks, jointly with , affect the nominal exchange rate. Import prices are likewise affected by all these shocks since they depend on the exchange rate and foreign exporter costs.

5. Data and empirical methodology

Data

In line with most of the studies summarised in Table 2 of Appendix A, we specify a Vector Error Correction Model (VECM) in order to detect all shocks involving the variables included in the theoretical model and so as to avoid missing any information for the variables in levels. The model includes four endogenous variables: = [d1_cpi, reer, RIDL, oil]13

The real effective exchange rate (reer) captures both demand and foreign costs. It measures the transmission of the real exchange rate of the domestic currency (US dollar) and the currencies of Ecuador’s main trading partners. It is trade weighted and based on the relative CPI

. The first variable, inflation (d1_cpi), or first difference of the consumer price index of Ecuador, detects the inflationary pressures generated by the rest of the variables.

14

13

See Table 1 in Appendix A for details of data sources.

. This

14

The methodology for calculating the real effective exchange rate is outlined in Rodriguez (1999). The countries included are the US, Japan, Colombia, Germany, Italy, Spain, Brazil, Chile, Mexico, Venezuela, France, the UK, Peru, Belgium, Argentina, Netherlands, Panama and South Korea, which account for about 89% of Ecuador’s total trade.

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variable indicates if the pass-through is rising because of the differential between Ecuadorian inflation and that of its principal trade partners. This variable can also be used as a proxy of the cost of foreign exports, considering that inflation has a negative and persistent effect on real GDP growth15and hence on the foreign export sector. The real exchange rates are set so that a rise in the index is equivalent to depreciation. Thus, a real depreciation is considered as lower foreign costs. Indeed, other studies, including Shambaugh (2008) and Campa and Goldberg (2005),

consider the nominal exchange rate as foreign prices16. As the real effective exchange rate

includes nominal exchange rates in its formula, the former also generate foreign price shocks.

The freely available international reserves of the Central Bank of Ecuador (RIDL in its ) serve as the proxy for the money supply variable. This variable includes the principal taxes and oil export revenues used in financing government spending, imports and external debt, among other concepts.

The oil prices variable (oil) is set to capture supply shocks taking into consideration that this variable has been used historically to detect just such shocks and, given that Ecuador is an oil producer and exporter, these prices are liable to generate inflationary pressures through a real exchange rate appreciation (Dutch diseases)17. As a proxy for this variable, we chose the Europe Brent Spot Price FOB as opposed to the West Texas Intermediate (WTI) price, the traditional

benchmark in oil pricingin Ecuador, because according to the Ecuadorian Minister of Petroleum

and Mines, Wilson Pastor, the country’s crude oil price is determined by Brent rather than

by WTI.18

The Central Bank of Ecuador was the principal source used to collect these data but we have also drawn on the International Energy Agency to obtain oil prices. Monthly data spanning the period 2000:01-2011:07 are transformed to logarithms but not seasonally adjusted, since such an adjustment could modify the relations between the variables19.

15

See Hwang and Wu (2009) for China, Wilson (2006) for Japan, and Ma (1998) for Colombia, three of Ecuador’s leading trade partners, and included in the calculation of Ecuador’s real effective exchange rate.

16

They assume foreign price shocks to be equivalent to nominal exchange rate shocks because when the latter changes persistently without changes to either the real exchange rate or domestic prices, the change is only recorded in foreign prices and the nominal exchange rate.

17

The higher real income resulting from a boom leads to extra spending on services, which in turn raises their price (i.e. causes a real exchange rate appreciation, defined as the relative price of non-traded to traded goods), where the boom is experienced in the extractive sector, and it is the traditional manufacturing sector that is placed under pressure (Corden and Neary, 1982).

18

See the interview in http://internacional.elpais.com/internacional/2011/02/24/actualidad/1298502020_850215.html

19

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Empirical methodology

We initially tested for stationarity. We used the unit root test with level shifts proposed by

Saikkonen and Lütkepohl (2002) and Lanne et al. (2002) to take into account any possible structural breaks in the data. Both studies propose a unit root test based on estimating the deterministic term first using a generalized least squares (GLS) procedure under the unit root null hypothesis and then subtracting this from the original series. An Augmented Dickey-Fuller (ADF) type test is then performed on the adjusted series. If the break date is unknown, Lanne et al. (2003)recommend choosing a reasonably large autoregressive (AR) order in a first step and then selecting the break date which minimizes the GLS objective function used to estimate the parameters of the deterministic part. Critical values are tabulated in Lanneet al.(2002). The ADF test was also used for the data without structural breaks.

Next we test for cointegration by using the Saikkonen and Lütkepohl (2000a,b,c) test, which involves estimating the deterministic term in a first step, subtracting it from the observations and applying a Johansen type test to the adjusted series. The parameters of the deterministic term are estimated by the GLS procedure. The critical values depend on the kind of deterministic term included. Possible options are a constant, a linear trend term, a linear trend orthogonal to the cointegration relations and seasonal dummy variables. In other words, all the options available for the Johansen trace tests are also available in this test. In addition, the critical values remain valid if a shift dummy variable is included. Critical values and p-values were generated according to

Trenkler (2004).

The Johansen (1995) reduced rank regression procedure was applied to estimate the VECM, which we ran with different lags until we ensured the nonautocorrelation, homoscedasticity and the no presence of ARCH effects.

Restrictions on the long-run effects of some shocks were used to identify these models (see Blanchard and Quah, 1989; Gali, 1999; and King et al., 1991).

Having estimated the reduced form of VECM:

(15) Derived from the structural form:

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where contains all the variables included in the model, as justified above. contains all

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parameters. Matrix A contains all the instantaneous relations between the variables, and is a (Kx1) structural form error term that is typically a zero mean white noise process with time-invariant covariance matrix

The reduced form is given in Equation (17)

With .

It has the following moving-average (MA) representation:

is an infinite order polynomial in the lag operator with a coefficient matrix that goes to zero as j

goes to infinity. The matrix has rank K–r if the cointegrating rank of the system is r and it

represents the long-run effects of forecast error impulse responses, while represents transitory

effects. The term contains all initial values. As the forecast error impulse responses based on

and are subject to the same criticism as those for stable VAR processes, appropriate shocks

have to be identified for a meaningful impulse response analysis. If is replaced by , the

orthogonalized short-run impulse responses may be obtained as in a way that is analogous

to the stationary vector autoregressive (VAR) case. Moreover, the long-run effects of shocks

are given by (18).

This matrix has rank K ír because rk( ) = Kí r and Aand B are non singular. Thus, the matrix

(18) can have at most r columns of zeros. Hence, there can be at most r shocks with transitory effects (zero long-run impact), and at least k* = K ír shocks have permanent effects. Given the reduced rank of the matrix, each column of zeros stands for only k*independent restrictions. Thus, if there are r transitory shocks, the corresponding zeros represent k*r independent restrictions

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Similarly, r (r í 1)/2 additional contemporaneous restrictions identify the transitory shocks. Together these constitute a total of k*r + k*(k*í1)/2 + r (r í 1)/2= K(Kí1)/2 restrictions20. If we assume that A= , the matrix (18) become ȄB, and we have enough restrictions to identify B with

the long-run restrictions explained above.

6. Empirical results and discussion

The results of the standard ADF test and the unit root test with a level shift proposed by

Saikkonen and Lütkepohl (2002)andLanneet al.(2002)for those variables with structural breaks (presented in Tables 1 and 2 in Appendix C) indicate that the series in level terms display a unit root and in difference terms (denoted by d1) are stationary21.

The graphics show the presence of structural breaks in the following variables: inflation (d1_cpi), real effective exchange rate (reer) and oil prices (oil). Since inflation and the real effective exchange rate variables are highly correlated, both present the same break date: 2001:M2, while for oil prices the break date is 2009:M1.

The results of the Saikkonen and Lütkepohl cointegration test (2000a)22, presented in Table 3 in Appendix C, suggest that all variables cointegrate through one cointegration relation23

The Johansen (1995) reduced rank estimation procedure was applied in estimating the VEC model, which has five lags for variables in difference and just one lag for the cointegrated vector, ensuring the nonautocorrelation, homoscedasticity and the no presence of ARCH effects.

.

Even when structural breaks were absorbed in the cointegration space, two dummy variables had to be included in order to obtain the normality of residues. The first impulse dummy (dummy01) accounts for the new dollarization period that Ecuador entered in 2001, when its nominal variables seemed to be stable. This was 1 for 2001:M2 and -1 for 2001:M3, reflecting the differentiation of a permanent impulse detected in 2001:M2 by prior unit root tests. The second dummy (dummy09) takes into account the sudden decrease in oil prices, which in terms of Ecuadorian money supply

20

See Breitung, J., Brüggemann, R. and Lütkepohl, H. (2004).

21The econometric analysis was implemented using JmulTi 4 software (www.jmulti.de).

22If we had not obtained cointegration without the inclusion of dummies so as to take the structural breaks into account, then we would have

included them, but it proved unnecessary because the structural breaks coincided in more than one variable. It is supposed that the cointegration relation absorbed these structural breaks. See Juselius, 2007.

21We reach the same conclusion with the Johansen Trace test (Johansen, Mosconi and Nielsen, 2000). In the test we specified 1 lag for the variables

in levels, two level shifts (2001:M2 and 2009:M1) unrestricted in the model, but seasonal dummies, intercept and trend restricted in the model. We estimate our VECM with the Johansen reduced rank, keeping this structure.

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took place in 2008:M12. This structural break was detected in prior unit root tests as a level shift in the oil variable. Following Juselius’ (2007) technique when using dummies in VEC models, as mentioned above, a shift dummy becomes a permanent dummy when the former is differentiated, i.e. dummy09 will be -1 in 2009:M1.

By examining the significant loading coefficients ( ) resulting from the VEC estimation (see Table

4 in Appendix C) through their t-values (based on OLS standard errors), it can be seen that each

significant corresponds to a normalized eigenvector ( ) with the opposite sign. When this

occurs, then the cointegration relation is equilibrium correcting in the equation ǻǻǻǻǻǻ . Here we can

see that the oilvariable is the only one not adjusted with the long-run inflation relation. This result was expected since this variable does not depend on domestic variables.

In order to obtain the impulse response function and the variance decomposition of inflation variable we have to estimate a structural VEC using the long-run restrictions explained above. Since we have just one cointegration vector, we have r = 1. Hence, there can be at most one shock with transitory effects (zero long-run impact), and at least three (k* = 4 – 1) shocks should have permanent effects. Given the reduced rank of the matrix, each column of zeros stands for only k* independent restrictions. Thus, if there is one transitory shock, the corresponding zeros represent three (k*r) independent restrictions. To identify the permanent shocks exactly we need three (k*(k*í 1)/2) additional restrictions. Since r (r í 1)/2 is zero, we do not need additional contemporaneous restrictions to identify the transitory shocks. Together these constitute a total of six (K(Kí1)/2) restrictions.

With the vector of structural shocks given by the contemporaneous

impact matrix and the identified long run impact matrix , would have the following restrictions:

B = * * * * = 0 * * * * * 0 * 0 * * * * * * * 0 * * * * * * * 0 0 0 *

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The cointegration analysis suggested that inflation is stationary, accordingly inflation has no long-run impact on the rest of the variables included in the model, which corresponds to four zero restrictions in the first column of the identified long-run impact matrix. To derive the rest of the restrictions we employ the theoretical model described in Section 4. If in the long run the output is

supply determined, this restriction is imposed by setting the elements equal to zero.

We are interested in the long-run relation between money supply and inflation, even in a country which has lost control over its monetary policy; consequently, as we need one more restriction to identify the parameters in B, we decided to impose one contemporaneous restriction, that

is, , assuming that money supply does not affect the real effective exchange rate in the

short run. This is a coherent approach as we are analyzing a country with a fixed exchange rate regime in which the authorities cannot call on international reserves to control it.

The bootstrapped t-values summarized in Table 5 in Appendix C, obtained using 2,000 bootstrap replications, suggest that only real effective exchange rate shocks significantly increase inflation in the long run in Ecuador. In the short run only oil price shocks significantly increase the real effective exchange rate. Both results are consistent with the assumption that the real effective exchange rate involves both demand and foreign price shocks. Money supply does not affect inflation significantly in Ecuador, which is to be expected in a country that cannot use its monetary policy to affect prices, even when this variable is adjusted to the same long-run relation as the rest of the domestic variables (d1_cpi, reer). The oil variable is only affected by its own shocks in the short run.

While a pegged exchange rate regime serves to lower inflation in Ecuador, the rest of the world is experiencing higher rates of inflation. Thus, international currencies are appreciating in the long run, and rising oil prices exacerbate the effect by pushing inflation up in oil importing countries (Ecuador’s foreign exporters). The impulse response graphs (Figure 6 in Appendix C) and the variance decomposition table (Table 6 in Appendix C) illustrate these results: real effective exchange rate depreciations increased inflation for about twenty periods with a maximal response after two years. Indeed, the graphs of the variables in Appendix C forecast these conclusions: the real effective exchange rate follows oil price trends, after dollarization, the real effective exchange rate fell reaching a low in 2003:M5. After that date the trend reversed, increasing until the two downturns in oil prices in 2009:M1 and 2010:M7.

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7. Conclusions

In this article we have examined the impact of Ecuador’s real effective exchange rate depreciations on domestic inflation rates in the period from January 2000 (when Ecuador officially adopted the US dollar as its domestic currency) to July 2011 (latest available data). We have drawn on the exchange rate pass-through literature and a structural VECM with long-run restrictions in undertaking the theoretical and empirical analyses.

Although few ERPT studies have specifically examined dollarized countries, Akofio-Sowah (2008) reports that officially dollarized countries, such as Ecuador, experience a significantly lower ERPT coefficient. However, the findings reported herein contradict this. With the estimation of the structural VECM, we obtain the impulse responses of inflation to a real effective exchange rate shock – these impulse responses can be interpreted as the trend presented by the exchange rate pass-through. As we have shown, the real effective exchange rate presents an upward trend, following the trend in oil prices. As an oil exporter, the higher Ecuadorian oil prices rise, the higher is the inflation suffered by oil importing countries. These countries are at the same time Ecuador’s trading partners and so Ecuador imports the inflation of its main trading partners through these currency appreciations.

Today, the United States remains Ecuador’s principal trading partner, but as emerging countries such as South Korea and Brazil increase their participation in Ecuadorian trade, the currencies of such countries can be expected to acquire greater importance than the US dollar in the Ecuadorian balance sheet: the higher the real effective exchange rate rises, the greater the inflationary pressures attributable to the higher pass-through in Ecuador. We believe the inflationary effect reported here would have been even more marked if we had included China in our real effective exchange rate calculations, given that China is the emerging country par excellence. However, owing to its relatively new flexible exchange rate regime, we resolved to postpone its study to a later date.

In our opinion, Ecuador needs to face its short-term economic future with caution since both banking and currency crises are harmful to the country’s real and nominal variables. In light of the results, we honestly think that Ecuador is currently missing the opportunities afforded by managing its own currency and, most significantly, the opportunity of implementing its own monetary policy to manage the shocks it is experiencing.

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Appendix A. Data and literature review

Table 1. Data Sources

Consumer price index

Central Bank of Ecuador. For rapid access:

http://www.bce.fin.ec/docs.php?path=/home1/estadisticas/bolmensual/IEMensual.jsp Real effective exchange

rate

Freely available

international reserves Europe Brent Spot Price FOB (Dollars per Barrel)

http://www.eia.gov/

Table 2. Literature Review

Article Data/Objective Method/Variables

involved Results Coulibaly, D & Kempf, H. (2010) Quarterly. 27 emerging countries, 1989:1 -2009:1. To examine the effect of inflation targeting on the ERPT to prices.

Panel VAR. Seven seasonally adjusted variables: bilateral exchange rate vis-à-vis US dollar, output gap, log of world oil prices, log of money supply, consumer, and import and producer price indexes.

The adoption of inflation targeting helps to reduce the pass-through (PT) to all three price indexes in targeting countries. Variance decomposition shows that the contribution of exchange rate shocks to price fluctuations is more important in emerging targeters than it is in nontargeters, and the contribution of exchange rate shocks to price fluctuations in emerging targeters declines after adopting inflation targeting.

Akofio Sowah, N. (2009) Quarterly. 15 Sub-Saharan and 12 Latin American countries, 1980-2005. To investigate the relationship between the monetary

regime and the ERPT.

Panel Data. Consumer price index, nominal and real effective exchange rates, export partners’ production cost (CPI* NEER/REER), lagged difference in the log of CPI as a measure of inflation persistence, real GDP, trade openness (M+X/GDP), and exchange rate volatility (SD of the NEER over four quarters).

ERPT is incomplete and countries that are officially dollarized experience a significantly lower ERPT coefficient. The effects of size and trade openness variables on ERPT are not significant. The effect of exchange rate volatility on PT is significantly negative in Latin American countries and significantly positive in Sub-Saharan Africa, as in the latter region ER movements are perceived as permanent while in the former region they are seen as being transitory. Thus, Latin American firms are more willing to adjust their markups. Carranza, Galdon Sanchez and Gomez Biscarri (2009) Quarterly. 124 countries with different levels of dollarization, 1996-2004. To provide an in-depth Panel data. A quarterly 12-month CPI inflation rate as a measure of inflation. Exchange rate depreciation rates are calculated quarterly using the nominal

HDEs present higher pass-through coefficients but, when the nominal depreciation is large, this relationship changes: large depreciations tend to reduce the extent of the pass-through, the effect becoming more intense the more dollarized the economy is. The exchange rate regime matters: countries with fixed exchange rates present a more marked balance-sheet effect, whereas the evidence for intermediate regimes is weaker and

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analysis of the pass through from exchange rate changes into inflation by taking into account the likely balance-sheet effect present in highly dollarized economies (HDE) exchange rate expressed in units of local currency per dollar. The ratio of exports plus imports to GDP to measure the openness of a country. Real GDP growth to control the business cycle. Real Gross Fixed Capital Formation growth (GFCF). Two dummies that control

for fixed and intermediate regimes.

countries with flexible regimes do not seem to experience the balance-sheet effect at all. A contraction in investment may indeed be the mechanism that generates the reduction in inflation pass-through. Openness appears positively related to the intensity of pass-through. The inclusion of GDP growth has an interesting effect: fast growing countries show smaller inflation pass-through. Alvarez, Jaramillo and Selaive (2008) Monthly 1996-2007. To estimate a pass-through into disaggregated import data in Chile. Single equation model. Nominal effective exchange rate, but with the NEER expressed as US dollar parity they obtained similar results. As a proxy for foreign prices: external price index. Commodities price index (minus fuel) to control for changes in import prices. Monthly index of economic activity. Seasonally adjusted. Dummy variables to test if PT is asymmetric

In Chile the PT is high. The evidence of asymmetric PT for the aggregate import indexes is weak and none is found to indicate that the high PT is attributable to the concentration of Chilean imports in products with high ERPT. Yet regressions suggest heterogeneity in ERPT for individual products.

Ito, T. and Sato, K. (2008) Monthly from 1994-2006. To examine pass-through effects of exchange rate changes on domestic prices in East Asian countries.

VAR. Five variables: CPI, producer (PPI) and import price index (IPI), log of oil prices, output gap, log of money supply, nominal effective exchange rate. All prices and industrial production index are adjusted seasonally. Another VAR including interest rates.

The pass-through effect is greatest on IPI, followed by that on PPI, and is smallest on CPI. The degree of price response to the exchange rate shock is greatest in Indonesia being most pronounced in its CPI. Only Indonesia presents positive, large and statistically significant impulse responses of its monetary base to the NEER shock and of its CPI to the monetary shock. Indonesia’s disappointing recovery after the crisis can be partly attributed to the large pass-through of exchange rate shocks to CPI, the breakdown in its domestic distribution networks, and the central bank’s monetary policy reaction to depreciation.

Barhoumi, K. (2007)

Quarterly. 12 developing countries.

Structural VECM and the common trends approach. All five

Adopts a new formulation to show that PT to both CPI and import prices are in general greater than one, indicating that developing countries face larger shocks.

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1980:1 -2001:4. To calculate PT as the responses of ER, CPI and import prices to the supply, the relative demand, the nominal and the foreign prices shocks. variables in logs. Proxies of GDP: industrial production, petroleum production, manufacturing production. Nominal and real effective exchange rate. Consumer price index, import unit values.

ERPT is higher in the higher inflation environments of developing countries, showing that inflation is an important determinant of such countries’ PT.

Demand shocks raise both domestic and import prices, and depreciate nominal exchange rate. Supply shocks lower both domestic and import prices and appreciate nominal exchange rate. Nominal shocks increase all nominal variables. Foreign shocks raise both domestic and import prices. CPI rises higher than import prices.

Shambaug hJ. (2008) Quarterly. 16 countries, developed and developing. Data from 1973-1994. To identify shocks and explore the way domestic prices, import prices and exchange rates react to these shocks. Long-run restrictions VAR. Variables in logs: industrial production as proxy of GDP, nominal and real exchange rates series are based on relative CPI, import prices (y, q, p, s and pm)

Supply shocks lower prices, appreciate nominal rates and lower import prices. Demand shocks have a positive impact on output in the short run, depreciate the real exchange rate, raise domestic prices a small amount but raise import prices permanently. Nominal shocks have a positive impact on industrial production, depreciate the nominal exchange rate and increase all the nominal variables. Foreign shocks depreciate nominal exchange rates. However, supply and nominal shocks are much larger in developing countries, while the effect of a demand shock is somewhat weaker in industrialized countries. Barhoumi, K. and Jouini, J. (2008) Quarterly. Eight developing countries. 1980:2 -2003:4. To revisit the Taylor (2000) proposition.

Structural change and cointegration tests suitable for the single equation case. Five variables in logs: Percentage change of CPI. Nominal and real effective exchange rates. Industrial price index and import unit value.

During the 1990s some developing countries experienced a significant fall in inflation induced by a shift in their monetary policy regimes that specifically targeted inflation. Barhoumi, K (2005) Annual. 24 developing countries. 1980-2003. To define and estimate ERPT. Nonstationary panel techniques. Four variables in logs: nominal effective exchange rate, wholesale price index, producer price index, GDP, import unit value in domestic currency.

The long-run exchange rate pass-through is heterogeneous, depending on local monetary policy and country size. The long-run ERPT is determined by a combination of the nominal effective exchange rate, the price of the competing domestic products, the exporter’s cost and domestic demand conditions.

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Rowland, P. (2004) Monthly. 20 years of data from 1983-2002. To study ERPT to import, producer and consumer prices in Colombia.

UVAR using the Johansen framework. Variables in logs and seasonally adjusted: nominal bilateral USD/COP rate of exchange (because the trade weighted nominal effective exchange rate residuals did not pass the test of normality. Besides, the US is by far Colombia’s largest trading partner and a large majority of exports and imports are priced in US dollars), and all prices from the distribution chain.

Import prices respond rapidly to an exchange rate shock. Producer and consumer prices respond much more sluggishly. Carranza, Galdon Sanchez and Gomez Biscarri (2004) Monthly. 15 countries with different degrees of dollarization. 1991-2003.

OLS to time series. As a measure of inflation 12-month CPI inflation rate, nominal exchange rate vis-à-vis the dollar and an

indicator of recessionary periods

(Rc).

Pass-through is significantly higher in dollarized countries. The asymmetry in the pass-through depends on the economic cycle: the PT during recessions tends to be negative (the more markedly so, the higher the degree of dollarization in the economy), because the drop in the aggregate demand prevents domestic prices rising. Reinhart, C., Rogoff, K. and Savastano , M. (2003) Annual: two samples: 89 countries from 1996-2001.

Panel data. CPI, real exchange rate, GDP and proxies to control for the openness of country and other variables such as seigniorage and the level of dollarization of each country.

The exchange rate pass-through to prices was greatest in economies where the degree of dollarization was very high, suggesting a link between “fear of floating” and the degree of dollarization: countries tend to be less tolerant to large exchange rate changes out of concern for the adverse effects such changes may have on sectoral balance sheets and, ultimately, on aggregate output. Bhundia, A. (2002) Quarterly from 1980-2001. To analyze the ERPT, to distinguish between real and nominal shocks and to investigate their impact on the exchange rate and

VAR with long run restrictions. Six variables based on McCarthy (1999): oil

prices, output gap,

nominal effective exchange rate (the results using the bilateral exchange rand/US dollar are similar), import prices, producer prices and

Shocks to producer prices have a considerable impact on CPI. When real shocks are responsible for nominal exchange rate depreciation the response of inflation is much smaller.

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prices. South Africa

CPI. A dummy variable to control for the change in 1994 with the post apartheid government Gonzalez Anaya, J.A.. (2000) Monthly. Data from 1980-2000. 16 dollarized countries of Latin America Error Correction Model and Panel Data. Nominal dollar exchange rate. CPI, US PPI, G7 PPI as international prices. M4.

There is no significant cross-country or within-country correlation between dollarization and pass-through.

Goldfajn, I and Werlang, S. (2000) 71 countries from 1980-1998

Panel Data. GDP gap, accumulated inflation calculated as the difference between CPI index at t+12 and t, proxy for trade openness,

depreciation as changes in effective nominal exchange rate, and a proxy to capture the misalignment of the real exchange rate.

The PT coefficient increase as the time horizon of the regression is expanded. American and Asian regions have a higher ERPT to prices than that of the other regions. The economically significant determinants are the degree of ER overvaluation and initial inflation.

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Appendix B Figures

Source:http://fxtop.com.

Notes:Fig. 1 shows the appreciation of CNY/USD since China reformed its fixed exchange rate regime to a managed floating exchange rate system in July 2005.

Fig. 2. Evolution of both the Colombian Peso and Yen exchange rates against the US dollar (Monthly average) 0 20 40 60 80 100 120 140 160 mag -0 0 a g o-00 nov -00 fe b-01 mag -0 1 a g o-01 nov -01 fe b-02 mag -0 2 a g o-02 nov -02 fe b-03 mag -0 3 a g o-03 nov -03 fe b-04 mag -0 4 a g o-04 nov -04 fe b-05 mag -0 5 a g o-05 nov -05 fe b-06 mag -0 6 a g o-06 nov -06 fe b-07 mag -0 7 a g o-07 nov -07 fe b-08 mag -0 8 a g o-08 nov -08 fe b-09 mag -0 9 a g o-09 nov -09 fe b-10 mag -1 0 a g o-10 nov -10 fe b-11 mag -1 1 a g o-11 nov -11 0 500 1000 1500 2000 2500 3000 3500 JPY/USD COP/USD Source:http://fxtop.com

Notes: Fig. 2 shows the appreciation of two currencies belonging to two of Ecuador’s main trading partner Colombia and Japan.

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0,0 1.000,0 2.000,0 3.000,0 4.000,0 5.000,0 6.000,0 7.000,0 8.000,0 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010

Fig. 3 Ecuador imports CIF by region ($US Millions)

United States Latino American Integration Association Andean Community Europe Asia Africa

Source:Based on statistics provided by the Central Bank of Ecuador.

Notes:Fig. 3 shows the evolution in Ecuador’s main suppliers: the most important are the United States, the Latin American Integration Association (Argentina, Brazil, Chile and Mexico) and the Andean Community (Bolivia, Colombia, Peru and Venezuela). The picture also shows the growth recorded by Asia (comprising Japan, Taiwan, China and South Korea), which since 2004 has replaced Europe as the third largest source of imports.

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Appendix C. Econometric analysis

Graphics of the variables in logarithms

Table 1. Unit root with structural break test (Saikkonen and Lütkepohl, 2002 and Lanne et al.,2002).

Unit root and cointegration tests.

Variable Deterministic terms* Lags Break date Value of

test statistic

Critical Values (Lanne, 2002) 1% 5% 10%

d1_cpi_log C + Time trend + ID + SD 1 2001M2 -2.2576 -3.55 -3.03 -2.76

d1_cpi_log_d1 ID 0 2001M2 -14.6855 -3.48 -2.88 -2.58

reer_log C + Time trend + Shift D 1 2001M2 0.1508 -3.55 -3.03 -2.76

reer_log_d1 ID 0 2001M2 -5.8671 -3.48 -2.88 -2.58

oil_log C + Time trend + Shift D 1 2008M12 -2.9592 -3.55 -3.03 -2.76

oil_log_d1 ID 0 2009M1 -10.0459 -3.48 -2.88 -2.58

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Table 2. ADF Test (Fuller, 1976,Dickey and Fuller, 1979)

Variable Deterministic terms* Lag

s

Value of test statistic

Critical Values (Davidson and MacKinnon, 1993)

1% 5% 10%

RIDL_log C + Time trend + SD 0 -2.1764 -3.96 -3.41 -3.13

RIDL_log_d1 C + SD 0 -10.8122 -3.43 -2.86 -2.57

*C: Constant, SD: Seasonal Dummies

Table 3. Cointegration test between d1_cpi, reer, RIDL and oil variables (Saikkonen & Lütkepohl, 2000).

r0 LR p value Critical Values (Trenkler, 2004)

90% 95% 99%

0 85.68 0.0000 42.05 45.32 51.45

1 25.27 0.1234 26.07 28.52 33.50

2 5.25 0.8483 13.88 15.76 19.71

3 0.15 0.9877 5.47 6.79 9.73

Notes: Deterministic terms restricted in the cointegration space: Trend, constant and seasonal dummies. Optimal Lag: 1 (Hannan-Quinn Criterion and Schwarz Criterion).

Table 4. VECM Estimation Results

Loading coefficientsª Coefficients of the cointegrating vector (ec1(t-1))

d(d1_cpi_log) d(reer_log) d(RIDL_log) d(oil_log) d1_cpi_log(t-1) reer_log (t-1) d(RIDL_log) d(oil_log)

-0.524 0.3 -4.122 -1.671 (0.049) (0.132) (1.209) (1.136) [-10.789] [2.985] [-3.410] [-1.471] 1.000 -0.089 0.001 0.009 (0.000) (0.012) (0.004) (0.004) [0.000] [-7.537] [0.242] [2.495]

ª Standard deviations are in parentheses and t-values are in brackets.

Table 5. Structural VEC Estimation Results. Coefficients of the Bmatrixª.

Variables d(d1_cpi_log) d(reer_log) d(RIDL_log) d(oil_log)

d(d1_cpi_log) 0.0030 (0.0010) [2.9849] -0.0001 (0.0016) [-0.0469] -0.0015 (0.0019) [-0.8182] -0.0004 (0.0022) [-0.1888] d(reer_log) -0.0023 (0.0032) [-0.7092] 0.0072 (0.0018) [3.9321] 0.0000 (0.0000) [0.0000] 0.0054 (0.0023) [2.3157] d(RIDL_log) 0.0238 (0.0308) [0.7710] 0.0175 (0.0277) [0.6324] 0.0798 (0.0256) [3.1217] -0.0042 (0.0152) [-0.2733] d(oil_log) 0.0096 (0.0285) [0.3385] -0.0210 (0.0205) [-1.0237] 0.0148 (0.0239) [0.6188] 0.0752 (0.0246) [3.0551] ªBootstrap standard errors are in parentheses and bootstrap t-values are in brackets.

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Table 5 (continuation). Coefficients of the long run impact matrix .

Variables d(d1_cpi_log) d(reer_log) d(RIDL_log) d(oil_log)

d(d1_cpi_log) 0.0000 (0.0000) [0.0000] 0.0024 (0.0011) [2.1669] -0.0009 (0.0015) [-0.5539] 0.0009 (0.0041) [0.2154] d(reer_log) 0.0000 (0.0000) [0.0000] 0.0274 (0.0126) [2.1803] -0.0090 (0.0171) [-0.5252] 0.0197 (0.0561) [0.3507] d(RIDL_log) 0.0000 (0.0000) [0.0000] 0.0038 (0.0224) [0.1718] 0.0562 (0.0277) [2.0276] 0.0495 (0.1093) [0.4526] d(oil_log) 0.0000 (0.0000) [0.0000] 0.0000 (0.0000) [0.0000] 0.0000 (0.0239) [0.0000] 0.0876 (0.1529) [0.5728]

Notes:This is a B-model with long-run restrictions. With long-run restrictions providing five independent restrictions and one contemporaneous restriction providing one additional restriction, the Structural VAR is just identified. ML Estimation, Scoring Algorithm (see Amisano & Giannini, 1992). Convergence after 11 iterations. Log Likelihood: 1791.3097

Fig. 6. Impulse responses

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Table 6. SVEC Forecast error variance decomposition of "d1_cpi_log"

Forecast Horizon d1_cpi_log reer_log RIDL_log oil_log

1 0.78 0.00 0.20 0.01 2 0.76 0.00 0.23 0.01 3 0.67 0.08 0.24 0.01 4 0.61 0.14 0.24 0.01 5 0.55 0.20 0.22 0.03 6 0.50 0.27 0.20 0.03 7 0.46 0.31 0.18 0.05 8 0.42 0.37 0.15 0.05 9 0.39 0.41 0.14 0.06 10 0.36 0.44 0.14 0.06 11 0.33 0.47 0.13 0.06 12 0.30 0.50 0.14 0.06 13 0.27 0.53 0.13 0.06 14 0.25 0.55 0.13 0.06 15 0.23 0.57 0.13 0.06 16 0.22 0.59 0.13 0.06 17 0.20 0.61 0.13 0.07 18 0.19 0.62 0.12 0.07 19 0.18 0.63 0.12 0.07 20 0.16 0.64 0.12 0.08

References

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